Vol. 1 No. 1 (2020), Articles
Vol. 1 No. 1 (2020)

An Implicit Runge-Kutta Type Method for the Solution of Initial Value Problems

Articles
Published 2025-03-22
R. Muhammad
Department of Mathematics, Federal University of Technology, Minna.
Y. A. Yahaya
Department of Mathematics, Federal University of Technology, Minna.
A. S. Abdulkareem
Department of Chemical Engineering, Federal University of Technology, Minna
pdf

Keywords

Implicit, Runge-kutta Type, Initial value problems, Block, Backward Differentiation Formula (BDF)

How to Cite

An Implicit Runge-Kutta Type Method for the Solution of Initial Value Problems. (2025). KASU JOURNAL OF MATHEMATICAL SCIENCE (Maths Access), 1(1), Page 28-37. https://mathsaccess.org.ng/index.php/kjms/article/view/14
ACM ACS APA ABNT Chicago Harvard IEEE MLA Turabian Vancouver AMA

Download Citation

Endnote/Zotero/Mendeley (RIS) BibTeX

Abstract

In this research paper, an implicit block hybrid Backward Differentiation Formula (BDF) for  is reformulated into a Runge-Kutta Type Method (RKTM) of the same step number. The method can be used to solve both first and second order (special or general form) initial value problem in Ordinary Differential Equation (ODE). This method differs from conventional BDF as derivation is done only once. It can also be extended to solve higher order ODE.

pdf

Similar Articles

You may also start an advanced similarity search for this article.